Bad(s, t) is hyperplane absolute winning

Erez Nesharim, David Simmons

Research output: Contribution to journalArticlepeer-review


J. An proved that for any s,t ≥ 0 such that s+t=1, Bad (s,t)is (34√2)-1-winning for Schmidt's game. We show that using the main lemma from [An] one can derive a stronger result, namely that Bad(s,t) is hyperplane absolute winning in the sense of [BFKRW]. As a consequence, one can deduce the full Hausdorff dimension of Bad(s,t) intersected with certain fractals.

Original languageEnglish
Pages (from-to)145-152
Number of pages8
JournalActa Arithmetica
Issue number2
StatePublished - 2014
Externally publishedYes


  • Diophantine approximation
  • Schmidt's conjecture
  • Schmidt's game

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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